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Finding the Fourth Proportional to 7,290.60, 10,911.60 and 6,415.80

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Solution

The fourth proportional to 7,290.60, 10,911.60 and 6,415.80 is: 9,602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290.60 : 10,911.60 = 6,415.80 : x
  2. Step 2: Convert to fraction form
    7,290.60/10,911.60 = 6,415.80/x
  3. Step 3: Cross multiply
    7,290.60x = 10,911.60 × 6,415.80
  4. Step 4: Simplify right side
    7,290.60x = 70,006,643.28
  5. Step 5: Solve for x
    x = 70,006,643.28/7,290.60
  6. Step 6: Final answer
    x = 9,602.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.